$$2\frac{3}{4}\div5\frac{1}{2}$$
$\frac{1}{2}=0.5$
$$\frac{\left(2\times 4+3\right)\times 2}{4\left(5\times 2+1\right)}$$
$$\frac{3+2\times 4}{2\left(1+2\times 5\right)}$$
$$\frac{3+8}{2\left(1+2\times 5\right)}$$
$$\frac{11}{2\left(1+2\times 5\right)}$$
$$\frac{11}{2\left(1+10\right)}$$
$$\frac{11}{2\times 11}$$
$$\frac{11}{22}$$
$$\frac{1}{2}$$
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$\frac{1}{2} = 0.5$
